One of the SHF models: where model parameters
\{ a, \ b, \ c \} are calibrated on water saturation from OH logs for each lithofacies or petrotype individually. The coefficient
c is related to FWL correction but usually set the same for all lithofacies / petrotypes of a given reservoir unit. If core data is abundant then one can build a reasonable correlation of model parameters on porosity
\phi and/or permeability
k_a:
(1)
s_{wi}(h) = \frac{b}{\phi} \; (h-h_{FWL}-c)^{\ a}
(2)
a = a(\phi, k_a), \; b = b(\phi, k_a), \; c = c(\phi, k_a)
See also
Physics / Fluid Dynamics / Percolation
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Field Study & Modelling / Petrophysics / Saturation Height Function (SHF) / SHF mathematical models
[ Basic reservoir properties ]
References
1 | Cuddy, S., Allinson, G. and Steele, R.: “A simple, convincing model for calculating water saturations in Southern North Sea gas fields”, Paper H, SPWLA 34th Annual Logging Symposium, June 13th – 16th (1993). |
2 | SPE 71326, B. Harrison (Enterprise Oil), X.D. Jing (Imperial College, London), Saturation Height Methods and Their Impact on Volumetric Hydrocarbon in Place Estimates, 2001 |